89613120 has 224 divisors, whose sum is σ = 318211200. Its totient is φ = 21307392.

The previous prime is 89613113. The next prime is 89613131. The reversal of 89613120 is 2131698.

It is a super-2 number, since 2×89613120² = 16061022552268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4716471 + ... + 4716489.

Almost surely, 2^89613120 is an apocalyptic number.

89613120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159105600).

89613120 is an abundant number, since it is smaller than the sum of its proper divisors (228598080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89613120 is a wasteful number, since it uses less digits than its factorization.

89613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 89613120 is about 9466.4206540804. The cubic root of 89613120 is about 447.4974168364.

The spelling of 89613120 in words is "eighty-nine million, six hundred thirteen thousand, one hundred twenty".